A two-species predator–prey model where the predators are separated into juvenile and mature predators has been considered in this article. Here, functional response in linear form is considered to know the impact of adult predator-induced fear in the stage-structured prey–predator model. Positivity and boundedness of the model system have been checked. Persistence conditions and existence condition(s) of each equilibria have been derived. The local and global stability analysis have been implemented both analytically and numerically along with Hopf bifurcation analysis with direction. From the analysis of the model system, it is observed that the mature predator-induced fear and rate of transition from juvenile (minor) predator to mature predator plays a crucial role in controlling the system dynamics.

中文翻译：

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成年捕食者在阶段结构的猎物-捕食者模型中引发恐惧的影响

本文考虑了两种捕食者 - 猎物模型，其中将捕食者分为幼年和成熟捕食者。在这里，线性形式的功能反应被认为是在阶段结构的猎物 - 捕食者模型中了解成年捕食者引起的恐惧的影响。已检查模型系统的正性和有界性。推导出了每个平衡点的持续条件和存在条件。局部和全局稳定性分析已在分析和数值上与带有方向的 Hopf 分岔分析一起实施。从模型系统的分析可以看出，成熟捕食者引起的恐惧和从幼年（次要）捕食者到成熟捕食者的转变率在控制系统动力学方面起着至关重要的作用。